727,124

2² × 17³ × 37

727,124 has the prime decomposition 2^2 × 17^3 × 37. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17^3 × 37

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,388,520

Proper Divisor Sum 661,396

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #727123 ← → #727157

Radix Representation

Decimal	727124
Binary	10110001100001010100 (20 bits)
Octal	0o2614124
Hexadecimal	0xB1854

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 289 578 629 1,156 1,258 2,516 4,913 9,826 10,693 19,652 21,386 42,772 181,781 363,562 727,124

Collatz Trajectory (87 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

727,124 363,562 181,781 545,344 272,672 136,336 68,168 34,084 17,042 8,521 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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